Solve the following system of equations:
-2x + y = 1, -4x + y = -1

Solution:

Given: Equations are -2x + y = 1 --- (1)

-4x + y = -1 --- (2)

Using the elimination method, let us eliminate y.

Subtract eq (2) from eq(1)

⇒ -2x + y - (-4x + y) = 1 - (-1)

⇒ -2x + y + 4x - y = 1 + 1

⇒ 2x = 2

⇒ x = 1

Now put the value of x in eq 1

⇒ -2(1) + y =1

⇒ -2 + y = 1

⇒ y = 3

The solution for the system of equations = (1,3)

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Solve the following system of equations:
-2x + y = 1, -4x + y = -1

Summary:

The solution to the equations -2x + y = 1, -4x + y = -1 is (1, 3).